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A fractal tiling (f-tiling) is a tiling whose boundary is fractal. This article presents two families of rare, infinitely many f-tilings. Each f-tiling is constructed by reducing tiles by a fixed scaling factor, using a single prototile, which is a segment of a regular polygon. The authors designed invariant mappings to automatically produce appealing seamless, colored patterns from such tilings.
Fractals, Equations, Boundary conditions, Mathematics

Peichang Ouyang and R. W. Fathauer, "Beautiful Math, Part 2: Aesthetic Patterns Based on Fractal Tilings," in IEEE Computer Graphics and Applications, vol. 34, no. 1, pp. 68-76, 2014.
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